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Extensions of several summation formulae of Ramanujan using the calculus of residues

✍ Scribed by Forrester, Peter J


Book ID
125471595
Publisher
Rocky Mountain Mathematics Consortium
Year
1983
Tongue
English
Weight
1019 KB
Volume
13
Category
Article
ISSN
0035-7596

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Extensions of the Poisson Summation Form
✍ A.L DurΓ‘n; R Estrada; R.P Kanwal πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 268 KB

The classical Poisson summation formula 1.1 and the corresponding distribu-Ε½ . tional formula 1.2 have found extensive applications in various scientific fields. Ε½ . However, they are not universally valid. For instance, if x is a smooth function, Ε½ . Ε½ . the left-hand side of 1.1 is generally dive